Online GCD Calculator is useful to find the GCD of 167, 420, 282, 996 quickly. Get the easiest ways to solve the greatest common divisor of 167, 420, 282, 996 i.e 1 in different methods as follows.
Given Input numbers are 167, 420, 282, 996
In the factoring method, we have to find the divisors of all numbers
Divisors of 167 :
The positive integer divisors of 167 that completely divides 167 are.
1, 167
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
GCD of numbers is the greatest common divisor
So, the GCD (167, 420, 282, 996) = 1.
Given numbers are 167, 420, 282, 996
The list of prime factors of all numbers are
Prime factors of 167 are 167
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 282 are 2 x 3 x 47
Prime factors of 996 are 2 x 2 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 167, 420, 282, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(167, 420) = 70140
GCD(167, 420) = ( 167 x 420 ) / 70140
= 167 / 420
= 167
Step2:
LCM(1, 282) = 282
GCD(1, 282) = ( 1 x 282 ) / 282
= 1 / 282
= 1
Step3:
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
= 1 / 996
= 1
So, Greatest Common Divisor of 167, 420, 282, 996 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 167, 420, 282, 996
The greatest common divisor of numbers 167, 420, 282, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 167, 420, 282, 996 is 1.
1. What is the GCD of 167, 420, 282, 996?
GCD of given numbers 167, 420, 282, 996 is 1
2. How to calculate the greatest common divisor of 167, 420, 282, 996?
We can find the highest common divisor of 167, 420, 282, 996 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 167, 420, 282, 996 i.e 1.
3. How can I use the GCD of 167, 420, 282, 996Calculator?
Out the numbers 167, 420, 282, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.